Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection (eBook) von Benedict Baur
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ISBN-13:
9783658058296
Veröffentl:
2014
Einband:
eBook
Seiten:
198
Autor:
Benedict Baur
eBook Format:
PDF
eBook-Typ:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Inhaltsverzeichnis
Introduction.- Construction of Lp-Strong Feller Processes.- Elliptic Regularity up to the Boundary.- Construction of Elliptic Diffusions.- Applications.- Construction of the Local Time and Skorokhod Decomposition.- Appendix.
Beschreibung
Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finite particle systems with singular interaction. Emphasize is placed on the handling of singular drift coefficients, as well as on the discussion of point wise and path wise properties of the constructed processes rather than just the quasi-everywhere properties commonly known from the general Dirichlet form theory.
Autor
Benedict Baur has done his doctors degree at the University of Kaiserslautern in topics on Stochastics and Functional Analysis.
Schlagwörter zu:
Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection von Benedict Baur - mit der ISBN: 9783658058296
Dirichlet form theory; Skorokhod decomposition; elliptic boundary value problem; finite particle system; C; Probability Theory; Analysis; Mathematical Physics; Mathematics and Statistics, Online-Buchhandlung
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